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find the derivative of the following functions wrt x question = y = (sinx )^x

find the derivative of the following functions wrt x
question = y = (sinx )^x

Grade:12

1 Answers

Robin Chourasia
askIITians Faculty 9 Points
8 years ago
y= (sinx)^x

Taking log,

lny = x ln(sinx)

Taking derivative wrt x,

1/y dy/dx = x (1/sinx)cosx + ln(sinx)

Put y and simplyfy.

Thanks and regards,
Robin
askIITian Faculty.

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